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Finding the Fourth Proportional to 396.41, 547.23 and 298.01

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Solution

The fourth proportional to 396.41, 547.23 and 298.01 is: 411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.41 : 547.23 = 298.01 : x
  2. Step 2: Convert to fraction form
    396.41/547.23 = 298.01/x
  3. Step 3: Cross multiply
    396.41x = 547.23 × 298.01
  4. Step 4: Simplify right side
    396.41x = 163,080.01
  5. Step 5: Solve for x
    x = 163,080.01/396.41
  6. Step 6: Final answer
    x = 411.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.